Genetics and analysis of quantitative traits:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Sunderland, Mass.
Sinauer
1998
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVI, 980 S. graph. Darst. |
| ISBN: | 0878934812 |
Internformat
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| 100 | 1 | |a Lynch, Michael |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Genetics and analysis of quantitative traits |c Michael Lynch ; Bruce Walsh |
| 264 | 1 | |a Sunderland, Mass. |b Sinauer |c 1998 | |
| 300 | |a XVI, 980 S. |b graph. Darst. | ||
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| 650 | 4 | |a Genetic Techniques | |
| 650 | 4 | |a Quantitative Trait, Heritable | |
| 650 | 4 | |a Quantitative genetics | |
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Datensatz im Suchindex
| _version_ | 1804126522501496832 |
|---|---|
| adam_text | CONTENTS i
PREFACE xiii
I. FOUNDATIONS OF QUANTITATIVE GENETICS 1
1. AN OVERVIEW OF QUANTITATIVE GENETICS 3
The Adaptationist Approach to Phenotypic Evolution 3
Quantitative Genetics and Phenotypic Evolution 4
Historical Background 7
The Major Goals of Quantitative Genetics 13
The nature of quantitative trait variation 13
The consequences of inbreeding and outcrossing 14
The constraints on the evolutionary process 15
The estimation of breeding values 15
The development of predictive models for evolutionary change 16
Mathematics in Biology 16
2. PROPERTIES OF DISTRIBUTIONS 19
Parameters of Univariate Distributions 19
The Normal Distribution 26
The truncated normal distribution 29
Confidence Intervals 32
3. COVARIANCE, REGRESSION, AND CORRELATION 35
Jointly Distributed Random Variables 35
Expectations of jointly distributed variables 36
Covariance 36
Useful identities for variances and covariances 38
Regression 39
Derivation of the least squares linear regression 39
Properties of least squares regressions 41
Correlation 43
A Taste of Quantitative Genetic Theory 45
Directional selection differentials and the Robertson Price identity 45
The correlation between genotypic and phenotypic values 47
Regression of offspring phenotype on parental phenotype 48
ii CONTENTS
4. PROPERTIES OF SINGLE LOCI 51
Allele and Genotype Frequencies 52
The Transmission of Genetic Information 54
The Hardy Weinberg principle 54
Sex linked loci 56
Polyploidy 57
Age structure 60
Testing for Hardy Weinberg proportions 60
Characterizing the Influence of a Locus on the Phenotype 61
The Basis of Dominance 63
Fisher s Decomposition of the Genotypic Value 65
Partitioning the Genetic Variance 69
Additive Effects, Average Excesses, and Breeding Values 71
Extensions to Multiple Alleles and Nonrandom Mating 74
Average excess 74
Additive effects 75
Additive genetic variance 76
5. SOURCES OF GENETIC VARIATION FOR
MULTILOCUS TRAITS 81
Epistasis 82
A General Least Squares Model for Genetic Effects 85
Extension to haploids and polyploids 92
Linkage 94
Estimation of gametic phase disequilibrium 97
Effect of Disequilibrium on the Genetic Variance 100
The evidence 103
6. COMPONENTS OF ENVIRONMENTAL VARIATION 107
Extension of the Linear Model to Phenotypes 108
Special Environmental Effects Ill
Within individual variation 112
Developmental homeostasis and homozygosity 116
Repeatability 121
General Environmental Effects of Maternal Influence 123
Genotype x Environment Interaction 127
7. RESEMBLANCE BETWEEN RELATIVES 131
Measures of Relatedness 132
Coefficients of identity 133
Coefficients of coancestry and inbreeding 135
The coefficient of fraternity 140
The Genetic Covariance Between Relatives 141
The Effects of Linkage and Gametic Phase Disequilibrium 146
i
CONTENTS iii
Linkage 146
Gametic phase disequilibrium 150
Assortative Mating 153
Polyploidy 161
Environmental Sources of Covariance Between Relatives 162
The Heritability Concept 170
Evolvability 175
8. INTRODUCTION OF MATRIX ALGEBRA
AND LINEAR MODELS 177
Multiple Regression 177
An application to multivariate selection 180
Elementary Matrix Algebra 182
Basic notation 182
Partitioned matrices 183
Addition and subtraction 183
Multiplication 184
Transposition 186
Inverses and solutions to systems of equations 187
Determinants and minors 189
Computing inverses 190
Expectations of Random Vectors and Matrices 192
Covariance Matrices of Transformed Vectors 193
The Multivariate Normal Distribution 194
Properties of the MVN 195
Overview of Linear Models 198
Ordinary least squares 200
Generalized least squares 202
9. ANALYSIS OF LINE CROSSES 205
Expectations for Line cross Means 206
Estimation of Composite Effects 213
Hypothesis testing 215
Line crosses in Nicotiana rustica 219
Additional data 221
The Genetic Interpretation of Heterosis and Outbreeding Depression 222
Variance of Line cross Derivatives 226
Biometrical Approaches to the Estimation of Gene Number 231
The Castle Wright estimator 233
Effect of the leading factor 238
Extensions to haploids 241
Other Biometrical Approaches to Gene Number Estimation 244
The inbred backcross technique 244
Genotype assay 246
iv CONTENTS
10. INBREEDING DEPRESSION 251
The Genetic Basis of Inbreeding Depression 252
A more general model 256
Methodological Considerations 259
Single generation analysis 260
Multigenerational analyses 262
Ritland s method 266
Epistasis and inbreeding depression 267
Variance in inbreeding depression 268
The Evidence 269
Purging Inbreeding Depression 274
Number of Lethal Equivalents 276
Results from vertebrates 278
Results from Drosophila 279
Results from plants 281
Partial Recessives vs. Overdominance 283
The (A+B)/A ratio 283
Estimating the average degree of dominance 284
Inferences from molecular markers 287
11. MATTERS OF SCALE 293
Transformations to Achieve Normality 293
Log normal distributions and the log transform 294
Tests for normality 295
Stabilizing the Variance 300
Kleckowski s transformation 300
General variance stabilizing transformations 301
The Roginskii Yablokov effect 302
The Kluge Kerfoot phenomenon 305
Allometry: the Scaling Implications of Body Size 305
Removing Interaction Effects 307
Developmental Maps, Canalization, and Genetic Assimilation 309
Estimating developmental maps 310
Selection and canalization 314
Genetic assimilation 316
11. QUANTITATIVE TRAIT LOCI 319
12. POLYGENES AND POLYGENIC MUTATION 321
The Genetic Basis of Quantitative Genetic Variation 322
Major genes and isoalleles 322
The molecular nature of QTL variation 323
The Mutational Rate of Production of Quantitative Variation 328
CONTENTS v
Estimation from divergence experiments 330
Bristle numbers in Drosophila 333
Additional data 335
The Deleterious Effects of New Mutations 340
The Bateman Mukai technique 341
Results from flies, plants, and bacteria 343
Analysis of natural populations 348
The persistence of new mutations 351
13. DETECTING MAJOR GENES 353
Elementary Tests 354
Departures from normality 354
Tests based on sibship variances 355
Major gene indices (MGI) 357
Nonparametric line cross tests 358
Mixture Models 359
The distribution under a mixture model 360
Parameter estimation 360
Hypothesis testing 361
Complex Segregation Analysis 364
Likelihood functions assuming a single major gene 366
Common family effects 370
Polygenic background 371
Other extensions 373
Ascertainment bias 374
Estimating individual genotypes 374
Analysis of Discrete Characters 375
Single locus penetrance model 376
Major gene plus a polygenic background 377
14. PRINCIPLES OF MARKER BASED ANALYSIS 379
Classical Approaches 379
Chromosomal assays 380
Thoday s method 381
Genetics of Drosophila bristle number 385
Genetics of Drosophila speciation 387
Molecular Markers 390
Genetic Maps 393
Map distance vs. recombination frequencies 394
How many markers are needed? 397
Marker trait Associations 398
Selective genotyping and progeny testing 401
Recombinant inbred lines (RILs) 401
Bulked segregant analysis 402
vi CONTENTS
QTL mapping by marker changes in populations under selection 404
Marker based Analysis Using Nearly Isogenic Lines (NILs) 405
Marker based introgressions 407
Fine Mapping of Major Genes Using Population level Disequilibrium 413
LD mapping in expanding populations 414
Candidate Loci 418
The transmission/disequilibrium test 419
Estimating effects of candidate loci 422
Templeton and Sing s method: Using the historical
information in haplotypes 424
Cloning QTLs 425
Transposon tagging 426
Positional cloning and comparative mapping 426
15. MAPPING AND CHARACTERIZING QTLS:
INBRED LINE CROSSES 431
Foundations of Line Cross Mapping 431
Experimental designs 432
Conditional probabilities of QTL genotypes 433
Expected marker class means 437
Marker variance and higher order moments 439
Overall significance level with multiple tests 441
QTL Detection and Estimation Using Linear Models 442
QTL Detection and Estimation via Maximum Likelihood 445
Likelihood maps 446
Precision of ML estimates of QTL position 448
ML interval mapping 450
Approximating ML interval mapping by Haley Knott regressions 453
Dealing with Multiple QTLs 457
Marker difference regression 459
Interval mapping with marker cofactors 463
Detecting multiple linked QTLs using standard marker trait regressions .. 467
Sample Size Required for QTL Detection 469
Power under selective genotyping 474
Power and repeatabilty of mapping experiments 474
Selected Applications 477
The nature of transgressive segregation 477
QTLs involved in reproductive isolation in Mimulus 478
QTLs involved in protein regulation 478
QTLs in the Illinois long term selection maize lines 479
QTLs involved in the differences between maize and teosinte 481
QTLs for age specific growth in mice 484
Summary of QTL mapping experiments 484
CONTENTS vii
16. MAPPING AND CHARACTERIZING QTLS:
OUTBRED POPULATIONS 491
Measures of Informativeness 492
Sib Analysis: Linear Models 495
A single half sib family 496
Several half sib families 498
Power of Nested ANOVA Designs 501
A single full sib family 502
Several full sib families 504
Sib Analysis: Maximum Likelihood 505
Constructing likelihood functions 507
Maximum Likelihood over General Pedigrees: Variance Components 510
Estimating QTL position 512
The Haseman Elston Regression 513
Derivation of the Haseman Elston regression 513
Estimating the number of marker genes ibd 516
Power and improvements 517
Interval mapping by a modified Haseman Elston regression 518
Mapping Dichotomous Characters 521
Recurrent and relative risks of pairs of relatives 523
Affected sib pair tests 525
Power of ASP tests and related issues 527
Genomic scanning 529
Exclusion mapping and information content mapping 530
Affected pedigree member tests 532
III. ESTIMATION PROCEDURES 535
17. PARENT OFFSPRING REGRESSION 537
Estimation Procedures 538
Balanced data 538
Unequal family sizes 539
Standardization of data from the different sexes 542
Precision of Estimates 542
Optimum Experimental Designs 543
Assortative mating 547
Estimation of Heritability in Natural Populations 548
Linearity of the Parent Offspring Regression 550
18. SIB ANALYSIS 553
Half sib Analysis 554
One way analysis of variance 556
Hypothesis testing 560
viii CONTENTS
Sampling variance and standard errors 561
Confidence intervals 562
Negative estimates of heritability 563
Optimal experimental design 564
Unbalanced data 566
Resampling procedures 569
Full sib Analysis 570
Nested analysis of variance 573
Hypothesis testing 574
Sampling error 576
Optimal design 577
19. TWINS AND CLONES 581
The Classical Approach 582
Heritability estimation 584
The Monozygotic Twin Half sib Method 587
Clonal Analysis 592
20. CROSS CLASSIFIED DESIGNS 597
North Carolina Design II 598
The average degree of dominance 603
The Cockerham Weir model 605
Diallels 610
Pooled reciprocals, no self crosses 611
Reciprocals, no self crosses 614
Complete diallels 618
Partial diallels 618
Hayman Jinks analysis 619
North Carolina Design III and the Triple Test Cross 625
Some Closing Statistical Considerations 627
21. CORRELATIONS BETWEEN CHARACTERS 629
Theoretical Composition of the Genetic Covariance 630
Estimation of the Genetic Covariance 632
Pairwise comparison of relatives 632
Nested analysis of variance and covariance 633
Regression of family means 636
Components of Phenotypic Correlation 637
Phenotypic correlations as surrogate estimates of genetic correlations ... 639
Statistical Issues 639
Hypothesis tests 641
Standard errors 642
Bias due to selection 644
Applications 648
CONTENTS ix
Genetic basis of population differentiation 648
The homogeneity of genetic covariance matrices among species 650
Evolutionary allometry 653
Evolution of life history characters 655
22. GENOTYPE x ENVIRONMENT INTERACTION 657
Genetic Correlation Across Two Environments 660
Estimation procedures 663
Two way Analysis of Variance 666
Relationship to Falconer s correlation across environments 671
Further Characterization of Interaction Effects 672
Joint regression analysis 672
Testing for Cross over Interaction 678
Concepts of Stability and Plasticity 680
Additional issues 682
The Quantitative Genetics of Genotype X Environment Interaction 683
23. MATERNAL EFFECTS 687
Components of Variance and Covariance 689
Cytoplasmic transmission 693
Postpollination reproductive traits in plants 695
Cross fostering experiments 696
Body weight in mice 700
Eisen s Approach 703
Bondari s experiment 703
Falconer s Approach 706
Extension to Other Types of Relatives 711
24. SEX LINKAGE AND SEXUAL DIMORPHISM 715
Sex linked Loci and Dosage Compensation 715
Sex modified Expression of an Autosomal Locus 718
Gametic imprinting 718
Extension to Multiple Loci and the Covariance Between Relatives 719
Variation for Sexual Dimorphism 724
25. THRESHOLD CHARACTERS 727
Heritability on the Underlying Scale 730
Multiple Thresholds 736
Genetic Correlation Among Threshold Traits 739
Heritability on the Observed Scale 741
26. ESTIMATION OF BREEDING VALUES 745
The General Mixed Model 746
Estimating Fixed Factors and Predicting Random Effects 748
x CONTENTS
Estimability of fixed factors 753
Standard errors 754
Models for the Estimation of Breeding Values 755
The animal model 755
The gametic model 758
The reduced animal model 759
Simple Rules for Computing A and A 762
Allowing for mutation when computing A 766
Joint Estimation of Several Vectors of Random Effects 767
BLUP estimates of dominance values 767
Repeated records 769
Maternal effects 773
Multiple traits 774
27. VARIANCE COMPONENT ESTIMATION WITH
COMPLEX PEDIGREES 779
ML versus REML Estimates of Variance Components 780
A simple example of ML versus REML 781
ML Estimates of Variance Components in the General Mixed Model 784
Standard errors of ML estimates 788
Restricted Maximum Likelihood 789
Multivariate analysis 792
ML/REML estimation in populations under selection 792
Solving ML/REML Equations 793
Derivative based methods 794
EM methods 797
Additional approaches 799
A Molecular marker Based Method for Inferring Variance Components .... 800
IV. APPENDICES 805
Al. EXPECTATIONS, VARIANCES, AND COVARIANCES
OF COMPOUND VARIABLES 807
The Delta Method 807
Expectations of complex variables 808
Variances of complex variables 810
Covariances of complex variables 813
Variance of Variances and Covariances 813
Expectations and Variances of Products 817
Expectations and Variances of Ratios 818
Sampling variance of regression and correlations coefficients 818
Sampling variance of a coefficient of variation 819
CONTENTS xi
A2. PATH ANALYSIS 823
Univariate Analysis 823
Bivariate Analysis 826
Applications 826
Phenotypic correlation between parents and offspring 827
Correlations between characters 829
Growth analysis 831
A3. FURTHER TOPICS IN MATRIX ALGEBRA AND
LINEAR MODELS 835
Generalized Inverses and Solutions to Singular Systems of Equations 835
Generalized inverses 836
Consistency and solutions to consistent systems 836
Estimability of fixed factors 839
The Square Root of a Matrix 841
Derivation of the GLS Estimators 842
Quadratic Forms and Sums of Squares 843
Moments of quadratic forms 843
The sample variance as a quadratic form 844
Sums of squares expressed as a quadratic form 846
Testing Hypotheses About Linear Models 848
Equivalent Linear Models 849
Derivatives of Vectors and Matrices 851
A4. MAXIMUM LIKELIHOOD ESTIMATION AND
LIKELIHOOD RATIO TESTS 853
Likelihood, Support, and Score Functions 853
Large sample properties of MLEs 854
The Fisher information matrix 855
Likelihood ratio tests 857
The G test 859
Likelihood ratio tests for the general linear model 860
Iterative Methods for Solving ML Equations 861
Newton Raphson methods 861
Expectation maximization methods 863
EM for mixture model likelihoods 863
EM modifications for QTL mapping 865
A5. COMPUTING THE POWER OF STATISTICAL TESTS 869
Power of Normally Distributed Test Statistics 870
One sided tests 870
Two sided tests 872
Applications: Parent offspring regressions 874
xii CONTENTS
Applications: QTL detection tests using doubly affected sib pairs 876
Power of F ratio Tests 877
Central and noncentral x2 distributions 878
Central and noncentral F distributions 879
Power of fixed effects ANOVA designs 880
Application: Power of QTL mapping in half sib families 883
Power of random effects ANOVA designs 885
Application: Power of the half sib design for variance estimation 887
LITERATURE CITED 891
AUTHOR INDEX 949
ORGANISM AND TRAIT INDEX 961
SUBJECT INDEX 971
|
| any_adam_object | 1 |
| author | Lynch, Michael Walsh, Bruce |
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| dewey-full | 576.5/3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 576 - Genetics and evolution |
| dewey-raw | 576.5/3 |
| dewey-search | 576.5/3 |
| dewey-sort | 3576.5 13 |
| dewey-tens | 570 - Biology |
| discipline | Biologie |
| format | Book |
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| id | DE-604.BV011935414 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:18:48Z |
| institution | BVB |
| isbn | 0878934812 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008067600 |
| oclc_num | 37030646 |
| open_access_boolean | |
| owner | DE-M49 DE-BY-TUM DE-355 DE-BY-UBR DE-20 DE-19 DE-BY-UBM DE-1028 |
| owner_facet | DE-M49 DE-BY-TUM DE-355 DE-BY-UBR DE-20 DE-19 DE-BY-UBM DE-1028 |
| physical | XVI, 980 S. graph. Darst. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Sinauer |
| record_format | marc |
| spelling | Lynch, Michael Verfasser aut Genetics and analysis of quantitative traits Michael Lynch ; Bruce Walsh Sunderland, Mass. Sinauer 1998 XVI, 980 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Biometrie gtt Genetica quantitativa larpcal Genetica gtt Génétique quantitative Statistiek gtt Statistik Genetic Techniques Quantitative Trait, Heritable Quantitative genetics Tierzucht (DE-588)4060143-2 gnd rswk-swf Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Genetik (DE-588)4071711-2 gnd rswk-swf Pflanzenzüchtung (DE-588)4045599-3 gnd rswk-swf Quantitatives Merkmal Genetik (DE-588)4416058-6 gnd rswk-swf Auslese (DE-588)4003800-2 gnd rswk-swf Quantitatives Merkmal (DE-588)4390383-6 gnd rswk-swf Evolution (DE-588)4071050-6 gnd rswk-swf Genetik (DE-588)4071711-2 s Mathematische Methode (DE-588)4155620-3 s DE-604 Quantitatives Merkmal (DE-588)4390383-6 s Quantitatives Merkmal Genetik (DE-588)4416058-6 s Pflanzenzüchtung (DE-588)4045599-3 s Tierzucht (DE-588)4060143-2 s Auslese (DE-588)4003800-2 s Evolution (DE-588)4071050-6 s 1\p DE-604 Walsh, Bruce Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008067600&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lynch, Michael Walsh, Bruce Genetics and analysis of quantitative traits Biometrie gtt Genetica quantitativa larpcal Genetica gtt Génétique quantitative Statistiek gtt Statistik Genetic Techniques Quantitative Trait, Heritable Quantitative genetics Tierzucht (DE-588)4060143-2 gnd Mathematische Methode (DE-588)4155620-3 gnd Genetik (DE-588)4071711-2 gnd Pflanzenzüchtung (DE-588)4045599-3 gnd Quantitatives Merkmal Genetik (DE-588)4416058-6 gnd Auslese (DE-588)4003800-2 gnd Quantitatives Merkmal (DE-588)4390383-6 gnd Evolution (DE-588)4071050-6 gnd |
| subject_GND | (DE-588)4060143-2 (DE-588)4155620-3 (DE-588)4071711-2 (DE-588)4045599-3 (DE-588)4416058-6 (DE-588)4003800-2 (DE-588)4390383-6 (DE-588)4071050-6 |
| title | Genetics and analysis of quantitative traits |
| title_auth | Genetics and analysis of quantitative traits |
| title_exact_search | Genetics and analysis of quantitative traits |
| title_full | Genetics and analysis of quantitative traits Michael Lynch ; Bruce Walsh |
| title_fullStr | Genetics and analysis of quantitative traits Michael Lynch ; Bruce Walsh |
| title_full_unstemmed | Genetics and analysis of quantitative traits Michael Lynch ; Bruce Walsh |
| title_short | Genetics and analysis of quantitative traits |
| title_sort | genetics and analysis of quantitative traits |
| topic | Biometrie gtt Genetica quantitativa larpcal Genetica gtt Génétique quantitative Statistiek gtt Statistik Genetic Techniques Quantitative Trait, Heritable Quantitative genetics Tierzucht (DE-588)4060143-2 gnd Mathematische Methode (DE-588)4155620-3 gnd Genetik (DE-588)4071711-2 gnd Pflanzenzüchtung (DE-588)4045599-3 gnd Quantitatives Merkmal Genetik (DE-588)4416058-6 gnd Auslese (DE-588)4003800-2 gnd Quantitatives Merkmal (DE-588)4390383-6 gnd Evolution (DE-588)4071050-6 gnd |
| topic_facet | Biometrie Genetica quantitativa Genetica Génétique quantitative Statistiek Statistik Genetic Techniques Quantitative Trait, Heritable Quantitative genetics Tierzucht Mathematische Methode Genetik Pflanzenzüchtung Quantitatives Merkmal Genetik Auslese Quantitatives Merkmal Evolution |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008067600&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT lynchmichael geneticsandanalysisofquantitativetraits AT walshbruce geneticsandanalysisofquantitativetraits |